C.-C. Chen, S. M. Tabatabaie, “Chaotic and hypercyclic operators on solid Banach function spaces”, Probl. Anal. Issues Anal., 2020, Volume 9(27), Issue 3,Pages <nobr>83

This article is cited in 4 papers

Chaotic and hypercyclic operators on solid Banach function spaces

C.-C. Chen^a, S. M. Tabatabaie^b

^a Department of Mathematics Education, National Taichung University of Education, No. 140, Minsheng Rd., West Dist., Taichung 40306, Taiwan
^b Department of Mathematics, Faculty of Science, University of Qom, Alghadir Blvd, Qom 3716146611, Iran

Abstract: In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions. Some sufficient and necessary conditions for these operators to be chaotic are obtained as well.

Keywords: hypercyclic operator, chaotic operator, weighted translation operator, solid Banach function space, aperiodic function.

UDC: 517.98

MSC: 47A16

Received: 16.07.2020
Revised: 02.11.2020
Accepted: 03.11.2020

Language: English

DOI: 10.15393/j3.art.2020.8750